/** * File: graph_dfs.cs * Created Time: 2023-03-08 * Author: hpstory (hpstory1024@163.com) */ namespace hello_algo.chapter_graph; public class graph_dfs { /* 深度优先遍历 DFS 辅助函数 */ public void DFS(GraphAdjList graph, HashSet visited, List res, Vertex vet) { res.Add(vet); // 记录访问顶点 visited.Add(vet); // 标记该顶点已被访问 // 遍历该顶点的所有邻接顶点 foreach (Vertex adjVet in graph.adjList[vet]) { if (visited.Contains(adjVet)) { continue; // 跳过已被访问过的顶点 } // 递归访问邻接顶点 DFS(graph, visited, res, adjVet); } } /* 深度优先遍历 DFS */ // 使用邻接表来表示图,以便获取指定顶点的所有邻接顶点 public List GraphDFS(GraphAdjList graph, Vertex startVet) { // 顶点遍历序列 List res = new(); // 哈希表,用于记录已被访问过的顶点 HashSet visited = new(); DFS(graph, visited, res, startVet); return res; } [Test] public void Test() { /* 初始化无向图 */ Vertex[] v = Vertex.ValsToVets(new int[7] { 0, 1, 2, 3, 4, 5, 6 }); Vertex[][] edges = new Vertex[6][] { new Vertex[2] { v[0], v[1] }, new Vertex[2] { v[0], v[3] }, new Vertex[2] { v[1], v[2] }, new Vertex[2] { v[2], v[5] }, new Vertex[2] { v[4], v[5] }, new Vertex[2] { v[5], v[6] }, }; GraphAdjList graph = new(edges); Console.WriteLine("\n初始化后,图为"); graph.Print(); /* 深度优先遍历 DFS */ List res = GraphDFS(graph, v[0]); Console.WriteLine("\n深度优先遍历(DFS)顶点序列为"); Console.WriteLine(string.Join(" ", Vertex.VetsToVals(res))); } }